Math, asked by suhan03, 3 months ago

Please solve the following question ​

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Answered by mathdude500
17

\tt \:  \begin{bmatrix} 2 \: cos60 &  - 2sin30\\  - tan45 &  - cos0\end{bmatrix}\begin{bmatrix} cot45 & cosec30\\ sec60 & sin90\end{bmatrix}

\tt \:   =  \: \begin{bmatrix} 2 \times  \frac{1}{2}  &  - 2 \times  \frac{1}{2} \\  - 1&  - 1\end{bmatrix}\begin{bmatrix} 1 & 2\\ 2 & 1\end{bmatrix}

\tt \:   = \begin{bmatrix} 1 &  - 1\\  - 1&  - 1\end{bmatrix}\begin{bmatrix} 1 & 2\\ 2 & 1\end{bmatrix}

\tt \:   = \begin{bmatrix} 1 \times 1 + ( - 1) \times 2 & 1 \times 2 + ( - 1) \times 1\\ ( - 1) \times 1 + ( - 1) \times 2 &  - 1 \times 2 + ( - 1) \times 1\end{bmatrix}

\tt \:   = \begin{bmatrix} 1 - 2 & 2 - 1\\ - 1 -  2 &  - 2 - 1\end{bmatrix}

\tt \:   =  \: \begin{bmatrix}  - 1 & 1\\  - 3 &  - 3\end{bmatrix}

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